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8124 results in Fluid dynamics and solid mechanics

Page 85 of 407

  • THE TWO-TRAIN SEPARATION PROBLEM ON LEVEL TRACK WITH DISCRETE CONTROL

  • Part of
  • PHIL HOWLETT
  • Journal:
    The ANZIAM Journal / Volume 60 / Issue 2 / October 2018
    Published online by Cambridge University Press:
    29 October 2018, pp. 137-174
    • Article
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  • When two trains travel along the same track in the same direction, it is a common safety requirement that the trains must be separated by at least two signals. This means that there will always be at least one clear section of track between the two trains. If the safe-separation condition is violated, then the driver of the following train must adopt a revised strategy that will enable the train to stop at the next signal if necessary. One simple way to ensure safe separation is to define a prescribed set of latest allowed section exit times for the leading train and a corresponding prescribed set of earliest allowed section entry times for the following train. We will find strategies that minimize the total tractive energy required for both trains to complete their respective journeys within the overall allowed journey times and subject to the additional prescribed section clearance times. We assume that the drivers use a discrete control mechanism and show that the optimal driving strategy for each train is defined by a sequence of approximate speedholding phases at a uniquely defined optimal driving speed on each section and that the sequence of optimal driving speeds is a decreasing sequence for the leading train and an increasing sequence for the following train. We illustrate our results by finding optimal strategies and associated speed profiles for both trains in some elementary but realistic examples.

Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
  • Marco Amabili
  • Published online:
    25 October 2018
    Print publication:
    01 November 2018
  • This book presents the most recent advances on the mechanics of soft and composite shells and their nonlinear vibrations and stability, including advanced problems of modeling human vessels (aorta) with fluid-structure interaction. It guides the reader into nonlinear modelling of shell structures in applications where advanced composite and complex biological materials must be described with great accuracy. To achieve this goal, the book presents nonlinear shell theories, nonlinear vibrations, buckling, composite and functionally graded materials, hyperelasticity, viscoelasticity, nonlinear damping, rubber and soft biological materials. Advanced nonlinear shell theories, not available in any other book, are fully derived in a simple notation and are ready to be implemented in numerical codes. The work features a blend of the most advanced theory and experimental results, and is a valuable resource for researchers, professionals and graduate students, especially those interested in mechanics, aeronautics, civil structures, materials, bioengineering and solid matter at different scales.

Knowledge Driven Development
  • Bridging Waterfall and Agile Methodologies
  • Manoj Kumar Lal
  • Published online:
    20 October 2018
    Print publication:
    08 March 2018
  • This book presents a new methodology, known as Knowledge Driven Development, for managing project knowledge in an exhaustive and structured manner. The text highlights the importance of efficient project delivery methodology in the overall software development life cycle. Important topics such as requirement analysis, solution design, application design, and test design are discussed in depth. It establishes a connection between enterprise knowledge and project knowledge for continuous improvement and accelerated project delivery. Separate chapters on end-to-end project delivery, compliance and protocols and interface with existing methodologies makes it useful for the readers. Several case studies and examples are interspersed throughout the text for better understanding.

Impact Mechanics
  • 2nd edition
  • W. J. Stronge
  • Published online:
    19 October 2018
    Print publication:
    15 November 2018
  • Emphasising non-penetrating collisions, the second edition of Impact Mechanics develops several different methodologies for analysing collisions between structures - from rigid body theory for structures that are stiff and compact, to vibration and wave analyses for flexible structures. A valuable reference for both professionals and advanced undergraduate and graduate students, the book builds upon foundation courses in dynamics and strength of materials. Worked examples and end-of-chapter homework problems are drawn both from industry and sports such as golf, baseball, soccer and billiards. New chapters present a generalised theory of multi-body impact, as well as analyses of visco-elastic and visco-plastic impact. Effects of local compliance on impact dynamics are more generally described, and additional examples illustrating effects of friction during impact between bodies in either collinear or eccentric configurations are included.

Turbulence and Random Processes in Fluid Mechanics
  • 2nd edition
  • M. T. Landahl, E. Mollo-Christensen
  • Published online:
    12 October 2018
    Print publication:
    25 September 1992
  • Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science. Turbulence and related areas have continued to be subjects of intensive research over the last century. In this second edition of their successful textbook Professors Landahl and Mollo-Christensen have taken the opportunity to include recent developments in the field of chaos and its applications to turbulent flow. This timely update continues the original theme of the book: presenting the fundamental concepts and basic methods of fluid flow turbulence which enable the reader to follow the literature and understand current research. The emphasis upon the dynamic processes that create and maintain turbulent flows gives this book an original approach. This book should be useful to graduate students and researchers in fluid dynamics and, in particular, turbulence and related fields.

  • 1 - Formulating Geodynamic Model Problems: Three Case Studies

  • Neil M. Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book:
    Theoretical Mantle Dynamics
    Published online:
    20 September 2018
    Print publication:
    04 October 2018, pp 1-8

  • Summary

    Chapter 1 illustrates the art of formulating geodynamical model problems using three case studies: heat transfer from mantle diapirs, subduction, and plume-lithosphere interaction. Emphasis is placed on a hierarchical approach in which simple initial models guide the formulation of progressively more complex and realistic models.

  • 11 - Convection in More Realistic Systems

  • Neil M. Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book:
    Theoretical Mantle Dynamics
    Published online:
    20 September 2018
    Print publication:
    04 October 2018, pp 219-240

  • Summary

    Chapter 11 discusses convection in more geodynamically realistic systems. These include compressible convection governed by the anelastic liquid equations, convection in a fluid with temperature-dependent viscosity, small-scale convection beneath the lithosphere, convection in a compositionally stratified mantle, and convection in the presence of a phase transition.

  • 3 - Self-Similarity and Intermediate Asymptotics

  • Neil M. Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book:
    Theoretical Mantle Dynamics
    Published online:
    20 September 2018
    Print publication:
    04 October 2018, pp 22-32

  • Summary

    Chapter 3 discusses the closely related concepts of self-similarity and intermediate asymptotics by way of three examples: heat conduction in an impulsively heated rod; a self-similar buoyant thermal; and the Rayleigh-Taylor instability. The last of these introduces the notion of intermediate asymptotics with respect to problem parameters other than the time.

  • 5 - Elasticity and Viscoelasticity

  • Neil M. Ribe, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book:
    Theoretical Mantle Dynamics
    Published online:
    20 September 2018
    Print publication:
    04 October 2018, pp 86-95

  • Summary

    Chapter 5 treats the theories of the deformation of elastic solids and viscoelastic bodies, emphasizing the correspondence principles that relate these two types of behavior to each other and to the behavior of viscous fluids. The specific examples discussed are the flexure of an elastic plate and the deformation of a stratified viscoelastic sphere subject to surface loads.

Page 85 of 407